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Finding the Fourth Proportional to 433.84, 597.90 and 323.14

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Solution

The fourth proportional to 433.84, 597.90 and 323.14 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.84 : 597.90 = 323.14 : x
  2. Step 2: Convert to fraction form
    433.84/597.90 = 323.14/x
  3. Step 3: Cross multiply
    433.84x = 597.90 × 323.14
  4. Step 4: Simplify right side
    433.84x = 193,205.41
  5. Step 5: Solve for x
    x = 193,205.41/433.84
  6. Step 6: Final answer
    x = 445.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.